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Finding the Fourth Proportional to 152,518.32, 210,469.88 and 84,541.60

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Solution

The fourth proportional to 152,518.32, 210,469.88 and 84,541.60 is: 116,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,518.32 : 210,469.88 = 84,541.60 : x
  2. Step 2: Convert to fraction form
    152,518.32/210,469.88 = 84,541.60/x
  3. Step 3: Cross multiply
    152,518.32x = 210,469.88 × 84,541.60
  4. Step 4: Simplify right side
    152,518.32x = 17,793,460,407.01
  5. Step 5: Solve for x
    x = 17,793,460,407.01/152,518.32
  6. Step 6: Final answer
    x = 116,664.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.